CN108468738A - Three-dimensional phonon crystal vibration absorber based on gasbag-type - Google Patents

Three-dimensional phonon crystal vibration absorber based on gasbag-type Download PDF

Info

Publication number
CN108468738A
CN108468738A CN201810524316.9A CN201810524316A CN108468738A CN 108468738 A CN108468738 A CN 108468738A CN 201810524316 A CN201810524316 A CN 201810524316A CN 108468738 A CN108468738 A CN 108468738A
Authority
CN
China
Prior art keywords
phonon crystal
dimension
dish
air
crystal structure
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
CN201810524316.9A
Other languages
Chinese (zh)
Other versions
CN108468738B (en
Inventor
率志君
郝玉涛
刘伟
袁运博
刘凯旋
刘震
于涛
杜佳鑫
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Harbin Engineering University
Original Assignee
Harbin Engineering University
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Harbin Engineering University filed Critical Harbin Engineering University
Publication of CN108468738A publication Critical patent/CN108468738A/en
Application granted granted Critical
Publication of CN108468738B publication Critical patent/CN108468738B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Classifications

    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16FSPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F9/00Springs, vibration-dampers, shock-absorbers, or similarly-constructed movement-dampers using a fluid or the equivalent as damping medium
    • F16F9/02Springs, vibration-dampers, shock-absorbers, or similarly-constructed movement-dampers using a fluid or the equivalent as damping medium using gas only or vacuum
    • F16F9/0209Telescopic
    • F16F9/0281Details
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16FSPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F9/00Springs, vibration-dampers, shock-absorbers, or similarly-constructed movement-dampers using a fluid or the equivalent as damping medium
    • F16F9/02Springs, vibration-dampers, shock-absorbers, or similarly-constructed movement-dampers using a fluid or the equivalent as damping medium using gas only or vacuum
    • F16F9/04Springs, vibration-dampers, shock-absorbers, or similarly-constructed movement-dampers using a fluid or the equivalent as damping medium using gas only or vacuum in a chamber with a flexible wall
    • F16F9/0409Springs, vibration-dampers, shock-absorbers, or similarly-constructed movement-dampers using a fluid or the equivalent as damping medium using gas only or vacuum in a chamber with a flexible wall characterised by the wall structure
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16FSPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F9/00Springs, vibration-dampers, shock-absorbers, or similarly-constructed movement-dampers using a fluid or the equivalent as damping medium
    • F16F9/32Details
    • F16F9/3207Constructional features

Landscapes

  • Engineering & Computer Science (AREA)
  • General Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Vibration Prevention Devices (AREA)

Abstract

The present invention provides a kind of three-dimensional phonon crystal vibration absorber based on gasbag-type, including scatterer, dish-shaped air bag, upper flase floor, Under The Grille plate, tablet, loading line, air-valve device, air accumulator.Dish-shaped air bag, which is fitted on scatterer, forms scattering unit, and scattering unit is bonded in formation two-dimension phonon crystal structure, two-dimension phonon crystal structure on flase floor and forms three-dimensional photonic crystal structure in third dimension continuation.Under elastic wave excitation of the locally resonant phonon crystal in particular frequency range, scattering unit resonates, consume the energy that elastic wave is transmitted, it interacts with elastic wave long wave traveling wave, inhibiting effect is played to vibrating elastic Reeb, the structure of the present invention can adjust the coupling stiffness of scattering unit by adjusting the aeration quantity of dish-shaped air bag, and then adjust the vibration damping frequency band section of phonon crystal.

Description

Three-dimensional phonon crystal vibration absorber based on gasbag-type
Technical field
The present invention relates to a kind of three-dimensional phonon crystal vibration absorber based on gasbag-type, belongs to noise reduction technology field.
Background technology
With the development of science and technology with the raising of quality of life, requirement of the every field to the vibration noise of mechanical structure be more next It is higher.In engineering due to vibrate or impact and generate resonance, fatigue rupture the problems such as influence mechanical structure service life and accurate instrument The operating accuracy of device also will produce noise, the life and health of harmful to human.In Practical Project inhibit mechanical structure vibration and Noise is of great significance.
The band gap properties of phonon crystal can significantly inhibit or even forbid the propagation of the vibrating elastic wave within the scope of forbidden band.Base In band gap properties, phonon crystal has extensive use in vibration and noise reducing.On the one hand one can be provided for high-accuracy system of processing Determine the low vibration processing environment in frequency range, ensure higher machining accuracy, on the other hand can be provided for mechanical structure low The route of transmission of vibration extends the service life of product.
In recent years, people to phonon crystal are used to that the research of vibration and noise to be inhibited never to rest, such as number of patent application 201611244380.9 disclosing a kind of photonic crystal structure for naval vessel vibration isolation:Based on locally resonant principle, phonon crystal Matrix is distributed for honeycomb, and spring is placed on cellular inner wall, and tungsten block is connected by spring with matrix, but the structure can not The vibration for inhibiting three-dimensional, can not adjust bandgap range.Number of patent application 201410377170.1 discloses one kind and is based on The adjustable phonon crystal vibration isolator of Shape memory alloy strip gap, shape memory effect of the patent based on marmem are real The adjusting of existing phonon crystal band gap, but the structure is one-dimensional phonon crystal vibration isolator, can only adjust band gap in one-dimensional square.For The deficiency of existing phonon crystal vibration absorber, the present invention provides one kind adjusting rigidity in three-dimensional, and then adjusts band The locally resonant type phonon crystal vibration absorber of gap.
Invention content
It is that one kind can the purpose of the invention is to provide a kind of three-dimensional phonon crystal vibration absorber based on gasbag-type Rigidity is adjusted in three-dimensional, and then adjusts the locally resonant type phonon crystal vibration absorber of band gap.
The object of the present invention is achieved like this:Include by the first tablet, be arranged the first tablet upper end Under The Grille plate, Be arranged Under The Grille plate upper end upper flase floor, be arranged upper flase floor upper end the second tablet, grid in Turbogrid plates is set The two-dimension phonon crystal structure that interior scattering unit is constituted, Under The Grille plate upper surface, upper flase floor lower face are respectively set Have and air delivering pipeline is installed in the groove of the serpentine-like arrangement around rows of grid and groove, the scattering unit includes scattering Body and the dish-shaped air bag being symmetricly set on scattering external surface, and each dish-shaped air bag is connected to by connecting tube, one of them Be provided with the airbag aeration mouth being connected with air delivering pipeline on dish-shaped air bag, the two-dimension phonon crystal structure at least there are three and Arrangement up and down shares putting down of being in contact positioned at two-dimension phonon crystal structure and the adjacent two-dimension phonon crystal structure of middle layer Plate, one end of the air delivering pipeline of undermost two-dimension phonon crystal structure, the two-dimension phonon crystal structure of top layer appendix The one end on road is connect with air-valve device respectively, the other end of the air delivering pipeline of undermost two-dimension phonon crystal structure, top layer Two-dimension phonon crystal structure air delivering pipeline the other end distinguish adjacent middle layer two-dimension phonon crystal structure gas transmission Piping connection, air-valve device connect air accumulator.
The invention also includes some such structure features:
1. the scatterer is cube structure, there are six the dish air bags and is separately positioned on six tables of scatterer On face.
2. the two-dimension phonon crystal structure there are three or five.
3. the material of the scatterer is lead, tungsten or steel, the material of the dish air bag is rubber or nylon.
Compared with prior art, the beneficial effects of the invention are as follows:The present invention can by adjusting the aeration quantity of dish-shaped air bag, Air bag pressure changes, and changes the coupling stiffness of scattering unit, and then adjust the vibration damping frequency band section of phonon crystal;The present invention can Meet complicated vibration isolation requirement, is suitable for various precision instrument mounting platforms, vibration-isolating platform etc.;Overall structure of the present invention is simple, It is easily manufactured, it is cheap, have a wide range of application.
Description of the drawings
Fig. 1:Phonon crystal scattering unit schematic diagram;
Fig. 2:Two-dimension phonon crystal schematic diagram;
Fig. 3:Flase floor assembling schematic diagram;
Fig. 4:Overall structure diagram;
In figure:Scatterer 1, air bag connecting tube 2, dish-shaped air bag 3, airbag aeration mouth 4, upper flase floor 5, air delivering pipeline 6, under Flase floor 7, closed phonon crystal 8, air-valve device 9, air accumulator 10.
Specific implementation mode
Present invention is further described in detail with specific implementation mode below in conjunction with the accompanying drawings.
Phonon crystal vibration absorber of the present invention includes:Scatterer, dish-shaped air bag, upper flase floor, Under The Grille plate are put down Plate, loading line, air-valve device, air accumulator.Dish-shaped air bag, which is fitted on scatterer, forms scattering unit, and scattering unit is bonded in Two-dimension phonon crystal structure is formed on flase floor, two-dimension phonon crystal structure forms three-dimensional phonon crystal knot in third dimension continuation Structure.Under elastic wave excitation of the locally resonant phonon crystal in particular frequency range, scattering unit resonates, and consumes elastic wave The energy of transmission interacts with elastic wave long wave traveling wave, inhibiting effect, structure energy of the invention is played to vibrating elastic Reeb Enough aeration quantitys by adjusting dish-shaped air bag adjust the coupling stiffness of scattering unit, and then adjust the vibration damping frequency band area of phonon crystal Between.
The invention also includes:
(1) frame mode that a variety of scattering unit coupled arrangements may be used in two-dimensional structure, by multiple and different types Scattering unit periodicity nesting arrangement couples.
(2) three-dimensional structure can be by scattering unit after two-dimension periodic arrangement, by different types of scattering unit in the third dimension Expansion stacking is carried out with identical put in order on degree, to obtain the effect for preferably inhibiting vibration.
(3) scatterer can be selected spherical or square shape, photonic crystal structure can required design be square or just more Side shape prism.
The scatterer 1 of the present invention uses lead, tungsten, the materials such as steel to be processed into square, rubber, and dish is made in the materials such as nylon Air bag 3, the dish-shaped air bag of bonding forms scattering unit on six faces of scatterer, and six air bags are communicated with one another by connecting tube 2, air pressure It is equal.Basis material is processed as flase floor and tablet.Flase floor is divided into flase floor 5 and Under The Grille plate 7, on Under The Grille plate 7 Surface and 5 lower surface of upper flase floor mill out groove for installing air delivering pipeline 6.
The bonding first layer Under The Grille plate 7 on first layer tablet, the N number of square section grid of flase floor orthogonal arrangement, upper, Under The Grille plate height is the half of the grid sections length of side.It is bonded air delivering pipeline 6 at 7 groove of Under The Grille plate, is placed in grid Scattering unit, airbag aeration mouth 4 are connected to the sealing of air delivering pipeline 6, and air bag 3 and first layer tablet and 7 mesh walls of Under The Grille plate are viscous It connects.5 lower surface of upper flase floor docks adhesion with 7 upper surface of Under The Grille plate, and 5 mesh walls of upper flase floor are Nian Jie with air bag 3.In upper lattice 5 upper surface of screen is bonded second layer tablet, and the closed two-dimension phonon crystal structure of first layer is made.
According to the above method, n-th layer Under The Grille plate 7, the N number of square of flase floor orthogonal arrangement are bonded on n-th layer tablet Subsurface gridding, upper and lower flase floor height are the half of the grid sections length of side.Air delivering pipeline is bonded at 7 groove of Under The Grille plate, Scattering unit is placed in grid, airbag aeration mouth 4 is connected to the sealing of air delivering pipeline 6, air bag 3 and n-th layer tablet and Under The Grille plate 7 Mesh walls are bonded.5 lower surface of upper flase floor docks adhesion with 7 upper surface of Under The Grille plate, and 5 mesh walls of upper flase floor are viscous with air bag 3 It connects.Be bonded N+1 layer tablet in 5 upper surface of upper flase floor, be made the closed two-dimension phonon crystal structure of n-th layer, formation according to The three-dimensional locally resonant type photonic crystal structure of cubic arrangement sequence.
Every layer of two-dimension phonon crystal structure air delivering pipeline 6 is sealed with one layer of two-dimension phonon crystal structure air delivering pipeline 6 above Connection forms access, and 6 other end of first layer air delivering pipeline, which is connected by air-valve device 9 with air accumulator 10, is used as phonon crystal device Inlet channel, the n-th layer air delivering pipeline other end, which is connected by air-valve device 9 with air accumulator 10, is used as phonon crystal exhaust passage, Form complete gas return path.
Aeration quantity is adjusted by controlling air-valve device 9 when use, changes gas pressure, scatterer 7 and flase floor in air bag 4 Coupling stiffness change, and then adjust phonon crystal vibration damping frequency band section.
It is considered as following several factors in actual use:
(1) locally resonant type phonon crystal signal period structure can be reduced to mass-spring system, phonon crystal band gap Initial frequency f1With cutoff frequency f2It is determined by following formula:K is dish-shaped gas The equivalent stiffness of capsule, m1To scatter weight, m2For flase floor equivalent mass in signal period structure.First against the mesh of inhibition Mark frequency range scatterer can select lead, tungsten, the multiple materials such as steel to be processed as cube or sphere, and dish-shaped air bag selects rubber The materials such as glue, nylon, the gas being filled with select other inert gases such as nitrogen, flase floor and tablet to select steel, timber, density Plate, carbon fibre composite etc. meet bulk and working environment to the requirements such as intensity, rigidity, corrosion-resistant, fire-retardant, tooling. After phonon crystal is made, according to complicated Vibration Condition, the aeration quantity in dish-shaped gas is adjusted, and then adjust subtracting for phonon crystal Shake frequency band section.
(2) photonic crystal structure is according to vibrating elastic Reeb magnitude of load, working environment, three-dimensional different frequency elasticity Power is distributed, reasonable selection different materials, structure scatterer, be filled with different gas in air bag, multiple combinations can also be selected Scattering unit in two and three dimensions nesting period profile.
(3) photonic crystal structure is according to elastic force wave load size, working environment to intensity, rigidity, it is corrosion-resistant, fire-retardant, The requirements such as bulk, tooling adjust phonon crystal number of cycles.
(4) successively connection type is according to elastic force wave load size for phonon crystal, and working environment is to intensity, rigidity, corrosion resistant Erosion, the requirements such as fire-retardant selection bonding such as are bolted at the connection types.

Claims (5)

1. the three-dimensional phonon crystal vibration absorber based on gasbag-type, it is characterised in that:Including flat first by the first tablet, setting The Under The Grille plate of plate upper end, be arranged Under The Grille plate upper end upper flase floor, be arranged upper flase floor upper end the second tablet, set Set the two-dimension phonon crystal structure that the scattering unit in the grid of Turbogrid plates is constituted, Under The Grille plate upper surface, upper grid Plate lower face is respectively arranged in the groove of the serpentine-like arrangement around rows of grid and groove and is equipped with air delivering pipeline, described Scattering unit includes scatterer and is symmetricly set on the dish-shaped air bag scattered on external surface, and each dish-shaped air bag passes through connection Pipe is connected to, and the airbag aeration mouth being connected with air delivering pipeline, the two-dimension phonon crystal are provided on one of dish air bag Structure at least there are three and arrangement up and down, be located at the two-dimension phonon crystal structure of middle layer and adjacent two-dimension phonon crystal structure The tablet being in contact is shared, one end of the air delivering pipeline of undermost two-dimension phonon crystal structure, the two-dimension phonon of top layer are brilliant One end of the air delivering pipeline of body structure is connect with air-valve device respectively, the air delivering pipeline of undermost two-dimension phonon crystal structure The other end, top layer two-dimension phonon crystal structure air delivering pipeline the other end distinguish adjacent middle layer two-dimension phonon it is brilliant The air delivering pipeline of body structure connects, and air-valve device connects air accumulator.
2. the three-dimensional phonon crystal vibration absorber according to claim 1 based on gasbag-type, it is characterised in that:The scattering Body is cube structure, and there are six the dish air bags and is separately positioned on six surfaces of scatterer.
3. the three-dimensional phonon crystal vibration absorber according to claim 1 or 2 based on gasbag-type, it is characterised in that:It is described Two-dimension phonon crystal structure there are three or five.
4. the three-dimensional phonon crystal vibration absorber according to claim 1 or 2 based on gasbag-type, it is characterised in that:It is described The material of scatterer is lead, tungsten or steel, and the material of the dish air bag is rubber or nylon.
5. the three-dimensional phonon crystal vibration absorber according to claim 3 based on gasbag-type, it is characterised in that:The scattering The material of body is lead, tungsten or steel, and the material of the dish air bag is rubber or nylon.
CN201810524316.9A 2018-04-16 2018-05-28 Three-dimensional phononic crystal vibration damper based on air bag type Active CN108468738B (en)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
CN201810338868 2018-04-16
CN2018103388680 2018-04-16

Publications (2)

Publication Number Publication Date
CN108468738A true CN108468738A (en) 2018-08-31
CN108468738B CN108468738B (en) 2020-11-03

Family

ID=63261532

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201810524316.9A Active CN108468738B (en) 2018-04-16 2018-05-28 Three-dimensional phononic crystal vibration damper based on air bag type

Country Status (1)

Country Link
CN (1) CN108468738B (en)

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109742974A (en) * 2019-01-24 2019-05-10 华东交通大学 A kind of piezoelectric type phonon crystal absorbing electricity acquisition device
CN113432696A (en) * 2021-06-24 2021-09-24 哈尔滨工程大学 Device and method for measuring sound scattering intensity of pipeline in shallow sea
CN115492894A (en) * 2022-08-04 2022-12-20 哈尔滨工程大学 Efficient vibration-damping base supported by liquid bags on chain type panel

Citations (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20110240402A1 (en) * 2010-03-31 2011-10-06 Industrial Technology Research Institute Unit with a sound isolation/vibration isolation structure, array employing the same, and method for fabricating the same
CN103514873A (en) * 2013-09-13 2014-01-15 西安交通大学 Low-frequency vibration-isolation combined sandwiched structure
CN204998750U (en) * 2015-07-27 2016-01-27 中国商用飞机有限责任公司 Sound insulation airplane wallboard
CN106907418A (en) * 2017-01-20 2017-06-30 上海交通大学 Phonon crystal negative poisson's ratio honeycomb vibration isolation anti-impact device
CN107542827A (en) * 2017-10-17 2018-01-05 吉林大学 A kind of composite construction phonon crystal vibration isolating suspension
CN107610934A (en) * 2017-09-19 2018-01-19 中国电力科学研究院 A kind of capacitor with relatively low operation noise
CN207021914U (en) * 2017-03-31 2018-02-16 国网江西省电力公司电力科学研究院 It is a kind of to be used for except the Piezoelectric anisotropy phonon crystal plate for generating of making an uproar

Patent Citations (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20110240402A1 (en) * 2010-03-31 2011-10-06 Industrial Technology Research Institute Unit with a sound isolation/vibration isolation structure, array employing the same, and method for fabricating the same
CN103514873A (en) * 2013-09-13 2014-01-15 西安交通大学 Low-frequency vibration-isolation combined sandwiched structure
CN204998750U (en) * 2015-07-27 2016-01-27 中国商用飞机有限责任公司 Sound insulation airplane wallboard
CN106907418A (en) * 2017-01-20 2017-06-30 上海交通大学 Phonon crystal negative poisson's ratio honeycomb vibration isolation anti-impact device
CN207021914U (en) * 2017-03-31 2018-02-16 国网江西省电力公司电力科学研究院 It is a kind of to be used for except the Piezoelectric anisotropy phonon crystal plate for generating of making an uproar
CN107610934A (en) * 2017-09-19 2018-01-19 中国电力科学研究院 A kind of capacitor with relatively low operation noise
CN107542827A (en) * 2017-10-17 2018-01-05 吉林大学 A kind of composite construction phonon crystal vibration isolating suspension

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109742974A (en) * 2019-01-24 2019-05-10 华东交通大学 A kind of piezoelectric type phonon crystal absorbing electricity acquisition device
CN113432696A (en) * 2021-06-24 2021-09-24 哈尔滨工程大学 Device and method for measuring sound scattering intensity of pipeline in shallow sea
CN115492894A (en) * 2022-08-04 2022-12-20 哈尔滨工程大学 Efficient vibration-damping base supported by liquid bags on chain type panel
CN115492894B (en) * 2022-08-04 2023-05-23 哈尔滨工程大学 Efficient vibration reduction base supported by chained panel liquid bags

Also Published As

Publication number Publication date
CN108468738B (en) 2020-11-03

Similar Documents

Publication Publication Date Title
CN108468738A (en) Three-dimensional phonon crystal vibration absorber based on gasbag-type
CN108662081A (en) Three-dimensional phonon crystal vibration absorber based on pressing force formula
Gibson Modelling the mechanical behavior of cellular materials
Cates et al. Development of stresses in cohesionless poured sand
Roesset et al. Impact of weight falling onto the ground
CN102667527A (en) Sensor assembly having a seismic sensor and a divergence sensor
CN110566619A (en) Particle damping phononic crystal structure and equivalent theoretical model construction method thereof
CN111537190A (en) Test device for flow-induced vibration of passive body of pressure high chord-thickness ratio air box
CN108458040B (en) Integrated adjustable double-layer vibration reduction module
Martinelli et al. Modeling of Qiandao Lake submerged floating tunnel subject to multi-support seismic input
Mohammed et al. Theory and practice of the hydrodynamic redesign of artificial hellbender habitat
CN113007254B (en) Elastic wave metamaterial vibration isolation device with particle damping characteristic
Tejchman et al. FE-studies on rapid flow of bulk solids in silos
Kashiwazaki et al. Study on 3-dimensional base isolation system applying to new type power plant reactor (hydraulic 3-dimensional base isolation system: No. 1)(K148)
WO2021246220A1 (en) Floating-type base isolation system
CN212453168U (en) Rolling pendulum vibration damper
Iemura et al. Experimental verification and numerical studies of an autonomous semi‐active seismic control strategy
CN110873279B (en) Assembled wave absorption layer and application thereof in thin film type LNG (liquefied natural gas) sloshing reduction liquid tank
van Boom et al. Dynamic aspects of offshore riser and mooring concepts
JP5382367B2 (en) Floating-type seismic isolation structure with pressurized liquid
Itoh et al. Numerical simulation of deformation of rubble structures by DEM and VOF
Bashir et al. Prediction and attenuation of ground vibrations generated by moving trains
CN117910276B (en) Method for controlling radiation noise of long floating plate
Suiker et al. Critical response of a granular railway track under high train velocities
CN112626931B (en) Vibration-damping roadbed with periodic cushion layer for spot paving

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant